| 有限域上典型群几何中二次曲面轨道的计数 |
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| 引用本文： | 祝学理,王兆飞. 有限域上典型群几何中二次曲面轨道的计数[J]. 河北北方学院学报(自然科学版), 2006, 22(5): 1-4 |
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| 作者姓名： | 祝学理 王兆飞 |
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| 作者单位： | 河北北方学院数学系,河北,张家口,075000;河北北方学院数学系,河北,张家口,075000 |
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| 摘 要： | 分别在有限域上的仿射几何和射影几何中计算了二次曲面在对应的典型群作用下形成的轨道的个数.
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| 关 键 词： | 有限域 二次曲面 仿射变换 射影变换 轨道 |
| 文章编号： | 1673-1492(2006)05-0001-04 |
| 收稿时间： | 2006-09-05 |
| 修稿时间： | 2006-09-05 |
Number of Orbits of Quadrics under Classical Groups over Finite Fields |
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| ZHU Xue-li,WANG Zhao-fei. Number of Orbits of Quadrics under Classical Groups over Finite Fields[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 2006, 22(5): 1-4 |
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| Authors: | ZHU Xue-li WANG Zhao-fei |
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| Affiliation: | Department of Mathematics, Hebei North University, Zhangjiakou 075000, Hebei, China |
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| Abstract: | The number of orbits of quadrics in n-dimensional Affine Space under affine transformations over finite fields was computed. The number of orbits of quadrics in n-dimensional projective Space under projective transformation over finite fields was also computed. |
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| Keywords: | finite field quadrics affine transformation projective transformation orbit |
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